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Beliebt Rechnen >

derivative y=csc^1(e^{8t})

Lösung

ableitung von

y = csc^{1} (e^{8 t})

Lösung

- cot (e^{8 t}) csc (e^{8 t}) e^{8 t} \cdot 8

Schritte zur Lösung

\frac{d}{d t} (csc^{1} (e^{8 t}))

Vereinfache

csc^{1} (e^{8 t}) : csc (e^{8 t})

= \frac{d}{d t} (csc (e^{8 t}))

Wende die Kettenregel an:

- cot (e^{8 t}) csc (e^{8 t}) \frac{d}{d t} (e^{8 t})

= - cot (e^{8 t}) csc (e^{8 t}) \frac{d}{d t} (e^{8 t})

\frac{d}{d t} (e^{8 t}) = e^{8 t} \cdot 8

= - cot (e^{8 t}) csc (e^{8 t}) e^{8 t} \cdot 8

Graph

Beliebte Beispiele

integral of (x^3-7x)

\int (x^{3} - 7 x) d x

(\partial)/(\partial x)(ln(x^2u))

\frac{\partial}{\partial x} (ln (x^{2} u))

derivative f(x)=(2x+3)^6(x-2)^4

d er i v a t i v e f (x) = (2 x + 3)^{6} (x - 2)^{4}

integral of x+pi

\int x + π d x

derivative f(x)=sqrt(7x+8)

d er i v a t i v e f (x) = 7 x + 8